feat(stdlib): Time/Date/Duration calendar-clock core (issue #9)
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Implement the calendar/clock half of #9 as plain-i32 integer epochs — no new type, no floating point (the issue's "integer epochs to avoid drift") — so every operation is deterministic and bit-identical on every platform: Duration — a span in whole seconds; seconds/minutes/hours/days build one, as_seconds/as_minutes/as_hours/as_days read it back. Because a duration is just an int, `+` and `>` work with no extra machinery (Duration.minutes(5) + Duration.seconds(30), away > Duration.hours(3)). Date — a civil day as days-since-1970 (UTC): new/year/month/day/weekday/ is_leap/days_in_month/to_epoch/add_days/diff_days. DateTime — an instant as seconds-since-1970 (UTC, matching Time.now): from/date/add/year/month/day/weekday/hour/minute/second. Time.since(past) = now - past, for offline-progress / "time away" checks. New selfhost/emit_datetime.ludic (is_/emit_ for the three namespaces, wired into emit_ns_call + the frag list). The two civil<->epoch conversions are Howard Hinnant's public-domain proleptic-Gregorian algorithms, emitted once per program as the @fn_days_from_civil / @fn_civil_from_days prelude and gated by g_uses_datert; days_in_month is next-month-day-0 (no lookup table). Time gains `since`. Docs (Duration/Date/DateTime sections, 28 method pages + time-since), inventory, and LSP hover kept in sync; a registered test checks component math against hand-computed values. Reseeded; C-free fixpoint holds; all suites green (26 self-host / 45 regression / 29 tools); check.py, check-impl.py and validate.py OK. format/parse, a game-controlled simulated clock, and timezones are tracked follow-ups; v1 is UTC-only and, on the i32 epoch, valid through 2038. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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7
docs/language/datetime/_section.md
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docs/language/datetime/_section.md
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---
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id: datetime
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title: DateTime
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order: 6
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---
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Instants on the wall-clock timeline (UTC), stored as a plain <code>int</code>: the count of seconds since 1970-01-01, matching <code>Time.now</code>. Build one with <code>DateTime.from</code>, shift it by a <code>Duration</code> with <code>DateTime.add</code>, and pull it apart with the <code>year</code>/<code>month</code>/<code>day</code>/<code>hour</code>/<code>minute</code>/<code>second</code> readers. Deterministic integer math throughout; v1 is UTC-only with no leap seconds, and assumes instants at or after 1970.
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docs/language/datetime/datetime-add.md
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docs/language/datetime/datetime-add.md
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---
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id: datetime-add
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name: DateTime.add
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category: datetime
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kind: namespace-method
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tokens: DateTime.add
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sig: DateTime.add(dt, span) -> int
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tip: The instant `span` seconds later.
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order: 2
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ns: DateTime
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member: add
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---
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The instant <code>span</code> seconds after <code>dt</code>. Pair it with the <code>Duration</code> constructors to express the offset in real units.
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```ludic
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program Demo {
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handler Step phase Update {
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let ready_at = DateTime.add(Time.now(), Duration.hours(3))
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}
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}
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```
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docs/language/datetime/datetime-date.md
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docs/language/datetime/datetime-date.md
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---
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id: datetime-date
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name: DateTime.date
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category: datetime
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kind: namespace-method
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tokens: DateTime.date
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sig: DateTime.date(dt) -> int
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tip: The calendar day the instant falls on.
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order: 1
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ns: DateTime
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member: date
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---
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The <code>Date</code> (days since 1970) that the instant <code>dt</code> falls on, dropping the time of day.
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```ludic
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program Demo {
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handler Step phase Update {
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let today = DateTime.date(Time.now())
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}
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}
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```
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docs/language/datetime/datetime-day.md
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docs/language/datetime/datetime-day.md
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---
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id: datetime-day
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name: DateTime.day
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category: datetime
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kind: namespace-method
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tokens: DateTime.day
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sig: DateTime.day(dt) -> int
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tip: The day of the month (1-31) of an instant.
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order: 5
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ns: DateTime
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member: day
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---
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The day of the month of the instant <code>dt</code> (UTC), <code>1</code>–<code>31</code>.
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```ludic
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program Demo {
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handler Step phase Update {
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let d = DateTime.day(DateTime.from(2000, 3, 9, 0, 0, 0)) # 9
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}
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}
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```
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docs/language/datetime/datetime-from.md
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docs/language/datetime/datetime-from.md
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---
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id: datetime-from
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name: DateTime.from
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category: datetime
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kind: namespace-method
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tokens: DateTime.from
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sig: DateTime.from(year, month, day, hour, minute, second) -> int
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tip: Build an instant from its calendar parts.
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order: 0
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ns: DateTime
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member: from
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---
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Builds a <code>DateTime</code> (seconds since 1970, UTC) from calendar and clock parts. The inverse of the component readers below.
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```ludic
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program Demo {
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handler Step phase Update {
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let t = DateTime.from(2000, 1, 1, 12, 30, 15)
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}
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}
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```
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docs/language/datetime/datetime-hour.md
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docs/language/datetime/datetime-hour.md
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---
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id: datetime-hour
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name: DateTime.hour
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category: datetime
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kind: namespace-method
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tokens: DateTime.hour
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sig: DateTime.hour(dt) -> int
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tip: The hour of day (0-23) of an instant.
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order: 7
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ns: DateTime
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member: hour
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---
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The hour of the day of the instant <code>dt</code> (UTC), <code>0</code>–<code>23</code>. Drives day/night cycles from a real clock.
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```ludic
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program Demo {
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handler Step phase Update {
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let h = DateTime.hour(DateTime.from(2000, 1, 1, 12, 30, 15)) # 12
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}
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}
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```
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docs/language/datetime/datetime-minute.md
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docs/language/datetime/datetime-minute.md
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---
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id: datetime-minute
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name: DateTime.minute
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category: datetime
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kind: namespace-method
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tokens: DateTime.minute
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sig: DateTime.minute(dt) -> int
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tip: The minute of the hour (0-59) of an instant.
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order: 8
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ns: DateTime
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member: minute
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---
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The minute within the hour of the instant <code>dt</code> (UTC), <code>0</code>–<code>59</code>.
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```ludic
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program Demo {
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handler Step phase Update {
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let mi = DateTime.minute(DateTime.from(2000, 1, 1, 12, 30, 15)) # 30
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}
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}
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```
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docs/language/datetime/datetime-month.md
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docs/language/datetime/datetime-month.md
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---
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id: datetime-month
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name: DateTime.month
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category: datetime
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kind: namespace-method
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tokens: DateTime.month
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sig: DateTime.month(dt) -> int
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tip: The month (1-12) of an instant.
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order: 4
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ns: DateTime
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member: month
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---
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The calendar month of the instant <code>dt</code> (UTC), <code>1</code>–<code>12</code>.
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```ludic
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program Demo {
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handler Step phase Update {
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let m = DateTime.month(DateTime.from(2000, 3, 9, 0, 0, 0)) # 3
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}
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}
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```
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docs/language/datetime/datetime-second.md
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docs/language/datetime/datetime-second.md
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---
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id: datetime-second
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name: DateTime.second
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category: datetime
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kind: namespace-method
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tokens: DateTime.second
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sig: DateTime.second(dt) -> int
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tip: The second of the minute (0-59) of an instant.
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order: 9
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ns: DateTime
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member: second
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---
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The second within the minute of the instant <code>dt</code> (UTC), <code>0</code>–<code>59</code>.
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```ludic
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program Demo {
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handler Step phase Update {
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let s = DateTime.second(DateTime.from(2000, 1, 1, 12, 30, 15)) # 15
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}
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}
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```
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docs/language/datetime/datetime-weekday.md
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docs/language/datetime/datetime-weekday.md
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---
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id: datetime-weekday
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name: DateTime.weekday
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category: datetime
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kind: namespace-method
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tokens: DateTime.weekday
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sig: DateTime.weekday(dt) -> int
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tip: Day of the week, 0=Sunday..6=Saturday.
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order: 6
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ns: DateTime
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member: weekday
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---
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The day of the week of the instant <code>dt</code> (UTC), <code>0</code> (Sunday) through <code>6</code> (Saturday).
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```ludic
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program Demo {
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handler Step phase Update {
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let w = DateTime.weekday(DateTime.from(2000, 1, 1, 12, 0, 0)) # 6
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}
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}
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```
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docs/language/datetime/datetime-year.md
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docs/language/datetime/datetime-year.md
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---
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id: datetime-year
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name: DateTime.year
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category: datetime
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kind: namespace-method
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tokens: DateTime.year
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sig: DateTime.year(dt) -> int
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tip: The calendar year of an instant.
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order: 3
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ns: DateTime
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member: year
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---
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The calendar year of the instant <code>dt</code> (UTC).
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```ludic
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program Demo {
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handler Step phase Update {
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let y = DateTime.year(DateTime.from(2000, 1, 1, 12, 30, 15)) # 2000
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}
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}
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```
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